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Finding the Fourth Proportional to 7,234.10, 10,843.05 and 4,115.60

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Solution

The fourth proportional to 7,234.10, 10,843.05 and 4,115.60 is: 6,168.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.10 : 10,843.05 = 4,115.60 : x
  2. Step 2: Convert to fraction form
    7,234.10/10,843.05 = 4,115.60/x
  3. Step 3: Cross multiply
    7,234.10x = 10,843.05 × 4,115.60
  4. Step 4: Simplify right side
    7,234.10x = 44,625,656.58
  5. Step 5: Solve for x
    x = 44,625,656.58/7,234.10
  6. Step 6: Final answer
    x = 6,168.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.